A Padé family of iterations for the matrix sign function and related problems

DOI10.1002/nla.786zbMath1274.65133OpenAlexW2160603704MaRDI QIDQ4922268

Federico Greco, Oleksandr Gomilko, Krystyna Ziętak

Publication date: 29 May 2013

Published in: Numerical Linear Algebra with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nla.786

zbMATH Keywords

local convergencematrix sign functionlog-concavity of sequencePadé familyreciprocal of power series

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Numerical computation of matrix exponential and similar matrix functions (65F60)

Related Items (14)

Efficient implementation of rational approximations to fractional differential operators ⋮ Subresultants of \((x-\alpha)^m\) and \((x-\beta)^n\), Jacobi polynomials and complexity ⋮ Numerically stable iterative methods for computing matrix sign function ⋮ Regions of convergence of a Padé family of iterations for the matrix sector function and the matrix \(p\)th root ⋮ A globally convergent variant of mid-point method for finding the matrix sign ⋮ Constructing a high-order globally convergent iterative method for calculating the matrix sign function ⋮ On iterative algorithms for the polar decomposition of a matrix and the matrix sign function ⋮ Numerically stable improved Chebyshev-Halley type schemes for matrix sign function ⋮ The dual Padé families of iterations for the matrix \(p\)th root and the matrix \(p\)-sector function ⋮ A fast convergent numerical method for matrix sign function with application in SDEs ⋮ Rational minimax iterations for computing the matrix \(p\)th root ⋮ New iterative methods for finding matrix sign function: derivation and application ⋮ Some matrix iterations for computing matrix sign function ⋮ On the Construction and Properties of $m$-step Methods for FDEs

Uses Software

• mftoolbox

Cites Work

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